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Simplifying 10(x + 4) = 5(x + 14) Reorder the terms: 10(4 + x) = 5(x + 14) (4 * 10 + x * 10) = 5(x + 14) (40 + 10x) = 5(x + 14) Reorder the terms: 40 + 10x = 5(14 + x) 40 + 10x = (14 * 5 + x * 5) 40 + 10x = (70 + 5x) Solving 40 + 10x = 70 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 40 + 10x + -5x = 70 + 5x + -5x Combine like terms: 10x + -5x = 5x 40 + 5x = 70 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + 5x = 70 + 0 40 + 5x = 70 Add '-40' to each side of the equation. 40 + -40 + 5x = 70 + -40 Combine like terms: 40 + -40 = 0 0 + 5x = 70 + -40 5x = 70 + -40 Combine like terms: 70 + -40 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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